A Convenient Category of Locally Preordered Spaces

作者：Krishnan Sanjeevi^*

来源：Applied Categorical Structures, 2009, 17(5): 445-466.

DOI：10.1007/s10485-008-9140-9

• Preordered space
• Ditopology
• Compactly generated space

As a practical foundation for a homotopy theory of abstract spacetime, we extend a category of certain compact partially ordered spaces to a convenient category of "locally preordered" spaces. We show that our new category is Cartesian closed that the forgetful functor to the category of compactly generated spaces creates all limits and colimits.

• 出版日期2009-10
• 单位中国地震局